16 -3t – 3 What is the value of the definite integral dt? Enter your answer as an exact fraction if necessary.

Q: Q-4) Find the integration of function (f (x) = x2 + 1) by using "Simpson Rule" when (n=6) on the…

A: Simpson's rule is used to approximate the definite integral which represents the area under the…

Q: integral of 9(t-1) / t^2(t^2-9) dt

A: Integrate: ∫9(t-1)t2(t2-9) dt

Q: x3+10 x-e The resulting integral of f f are integers. What is the value of b? dx is ax + b ln x -…

A: Integrate to obtain the value of constants.

Q: S(2- sec2x) elmale sec³x sec(3A – x) e ln (xle) What should be the value of A for dr to be…

A:

Q: Integral of ln(t+3) and (t-1)/((t^2)-1)

A: Given,

Q: Which of the following statement (s) is/are correct? The formula for the differential of a product…

A: Correct Option is C. Option A is wrong as d(gh) = g(dh) + h(dg) Option B is wrong as a fraction can…

Q: +-/1 points My Notes 1 BerrApCalc7 5.6.001 1 un du = -un 1C (n n+1 -1).] (Use C for the constant of…

A: Let I be the given integral and say it is A.

Q: 7e-72 Consider the indefinite integral /- dr: (e-7z + 5)5 This can be transformed into a basic…

A: integration using substitution method

Q: 6. S²2 (+1/12 - √x) dx

A:

Q: 7-38 Evaluate the integral. 7. X - 1 dx 5x + 1 9. dx (2x + 1)(x – 1) 11 dr

A:

Q: 1.5 – 4.5x10 -dx. | Evaluate the integral

A: Consider the following integral:

Q: 2. 1 Evaluate the definite integrals below. Use u-substitution when appropriate. 4 5 3el/x (a) (b) |…

A:

Q: 1 8х —1 х? +х- 6

A: Use the partial fraction to evaluate it. A detailed solution is given below.

Q: 12.  ∫31(−3t3+6t2−6t+1) dt Evaluate the definite integral given above. Enter your answer as an exact…

A: In this question, a function of t has given and for that function we have to find the definite…

Q: 4. Water leaks out of a tank at the rate of yt +1 gallons per minute, for 0 <t < 120 minutes. At…

A:

Q: 77 The value of definite integral (a) 2 (b) 3 x²x² +1 (+(²2-0²-1))) ₁ (c) 8 + ln x dx is equal to:…

A: To find- The value of definite integral ∫13x2x2+1 + lnx2x2x2+1 dx is equal to: 2 3 8 13

Q: (a) Find the MacLaurin polynomial of degree 9 for the function h(x) = ln(1 + x3). (b) Use you answer…

A:

Q: 11.3_4 Can you please help with a step by step guide? Thank you very much in advance. Use the…

A:

Q: 9. 1O evalate Seax=clb-a) Soxdx 6X dX =?

A: We need to evaluate the value of the following integral ∫016xdx Rule Used : ∫abxndx = 1n+1bn+1 -…

Q: 11.3_5 Can you please help with a step by step guide? Thank you very much in advance. Use the Log…

A: To calculate the indefinitel integral of the given function

Q: Evaluate the definite integrals using the graph of f (x) below. 4- 2- 10 12 -2- -4- -6-

A:

Q: 11.3_9 Can you please help with a step by step guide? Thank you very much in advance. Use the Log…

A: To obtain the indefinite integral using the log rule

Q: Test the ff ODE for exactness and find the general solution of the DE. (2x + 3y) dx + (3x + 4y) dy –…

A: Let's find.

Q: 1₁ (16-x²) dx -1 What is the approximate area of the given function using the Right Riemann Sum…

A:

Q: [(-3¢ª + 6t² – 6t + 1) dt Evaluate the definite integral given above. Enter your answer as an exact…

A: To find the definite integral ∫13-3t3+6t2-6t+1dt

Q: 4.3 (b) Represent the increase in the animal population from 2015 to 2020 as a definite integral of…

A:

Q: 4x3 + 3x? - 16 dæ 12x Consider the indefinite integral / x2 Then the integrand decomposes into the…

A:

Q: Can i get help step by step with this problem?

A: Given,

Q: f(x) = х — 2 36 35 x-1 what is the X - 1' smallest integral value of x that gives an integral value…

A:

Q: 10. b. Use Part 2 of the Fundamental Theorem of Calculus to evaluate the definite integrals. Show…

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Q: |(5r' +4)² – 7dt find the integral using which ever method you think is best 15.

A:

Q: Question 4 of 6 > Evaluate the indefinite integral. (Use symbolic notation and fractions where…

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Q: 16 What is the value of the definite integral (2t/2 + 6) dt? Enter your answer as an exact fraction…

A:

Q: 4 7 7 Suppose f(x)dx = 5, f(x)dx = - 8, and g(x)dx = 7. Evaluate the following integrals. 2 2 2…

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Q: a) [₁ 3]: Evaluate the integral 3x - 1 (x + 4)(2x - 1) / dx.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 11.3_2 Can you please help with a step by step guide? Thank you very much in advance. Use the…

A: Consider the integral ∫e3x-4 dx.

Q: 4.5 Can you show me all the steps to solve this problem? Directions: Evaluate the indefinite…

A: Consider the given integral:

Q: In 2 e*2arctan ex* J (1 + e2x) sec(2arctan e*)'

A: We need to evaluate ∫ln 2 ex 2arctan ex(1+e2x)sec(2arctan ex)dx                         (1) Here we…

Q: 16 What is the value of the definite integral | (2t'/2 + 6) dt? Enter your answer as an exact…

A: Given, ∫1162t12+6dt We know that, ∫fx±gxdx=∫fxdx±∫gxdx Therefore, ⇒∫1162t12+6dt=∫1162t12dt +∫1166…

Q: •3 4 - dx 2x ... Evaluate the given definite integral using appropriate substitution: A 8ln(5/3) B)…

A:

Q: I - 1 Evaluate the integral: dr. (x + 1)2 + 2

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2 (x² - y²) ² Evaluate: ³₁² L 21 x+y du dt

A: We have to find value of given double integration.

Q: Can i get help step by step with this problem?

A: Given,

Q: 11.3_3 Can you please help with a step by step guide? Thank you very much in advance. Use the…

A: The integral is

Q: 16 (4x-1/2 + 8) dæ Evaluate the definite integral given above. Enter your answer as an exact…

A:

Q: FULL SCREEN PRINTER V Chapter 6, Section 6.6, Question 051 Use integration by substitution and the…

A: Consider the given integral.

Q: * 14.0 Evaluate the definite integral V1+7x dx by making an appropriate substi- tution. Show all…

A:

Q: 0.5 da Evaluate the integral: V1- 22

A:

Q: 4 dr - 2x Evaluate the given definite integral using appropriate substitution: ... A) -2ln(5/3) B)…

A: Use substitution

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.